2001 – BSc degree in mathematics on Faculty of Science - Department of Mathematics, University of Zagreb: teacher of mathematics and informatics
2003 – BSc degree in mathematics on Faculty of Science - Department of Mathematics, University of Zagreb: engineer of mathematics (computer science)
2006 – MSc degree in mathematics on Faculty of Science - Department of Mathematics, University of Zagreb, dissertation: Multidimensional logarithmic means (advisor: academician Josip Pečarić)
2008 – PhD degree in mathematics on Faculty of Science - Department of Mathematics, University of Zagreb, dissertation: Means of Cauchy-type and related results (advisor: academician Josip Pečarić)
Employment and titles
2001.-2009. – junior researcher - assistant, Faculty of Textile Technology, University of Zagreb
2009.-2010. - junior researcher - senior assistant, Faculty of Textile Technology, University of Zagreb
2010.-2016. - assistant professor, Faculty of Textile Technology, University of Zagreb
2016.-today - associate professor, Faculty of Textile Technology, University of Zagreb
Scientific specialisation and research stays abroad
14.-27.5.2014. Universidade da Madeira, Funchal, Portugal (mobility; lecture: „Golden section in mathematics, nature and art“)
Teaching activity
Undergraduate studies Textile Technology and Engineering: Descriptive geometry, Descriptive geometry D
Undergraduate studies Textile and Fashion Design: Descriptive geometry A
Graduate studies Textile Technology and Engineering: Mathematics 2
Postgraduate scientific studies Textile Science and Technology: Selected topics in Mathematics, Selected Topics in Mathematics (in english)
Mentorship
Mentor for 21 undergraduate thesis
Mentor for students work awarded with Rector's Award: Marina Cesarec: Izrada islamskih geometrijskih uzoraka pomoću gereh pločica u računalnom programu Adobe Illustrator, 2016.
13 presentations on international conferences (1 invited lecture, 2 poster presentations and 10 oral presentations)
Reviewer for 10 international scientific mathematical journals.
2011-2013. member of editorial/technical board of International interdisciplinary journal TEDI
List of key scientific papers
M. Rodić: Some generalizations of the Jensen-type inequalities with applications, Axioms 2022, 11, 227, 17 pages.
M. Rodić: On the converse Jensen-type inequality for generalized f-divergences and Zipf–Mandelbrot law, Mathematics 2022, 10, 947, 14 pages.
Đ. Pečarić, J. Pečarić, M. Rodić: On a Jensen-type inequality for generalized f-divergences and Zipf-Mandelbrot law, Mathematical Inequalities & Applications, Volume 22, Number 4 (2019), 1463–1475.
J. Pečarić, M. Rodić: Uniform treatment of Jensen type inequalities II, Mathematical Reports 21 (71), 3 (2019), 289-310.
Đ. Pečarić, J. Pečarić, M. Rodić: About the sharpness of the Jensen inequality, Journal of Inequalities and Applications (2018) 2018:337, 12 pages.
M. Krnić, J. Pečarić, M. Rodić: More accurate Jensen-type inequalities for signed measures characterized via Green function and applications, Turkish Journal of Mathematics (2017) 41(6):1482-1496.
R. Mikić, J. Pečarić, M. Rodić: Levinson’s type generalization of the Jensen inequality and its converse for real Stieltjes measure, Journal of Inequalities and Applications (2017) 2017:4, 25 pages.
J. Pečarić, I. Perić, M. Rodić Lipanović: Uniform treatment of Jensen type inequalities, Mathematical reports (Bucur.) 16(66), 2 (2014), 183-205.
R. Jakšić, J. Pečarić, M. Rodić Lipanović: Reverses of the Jensen-Type Inequalities for Signed Measures, Abstract and Applied Analysis, vol. 2014, Article ID 626359, 11 pages, 2014., doi:10.1155/2014/626359.
A. R. Khan, J. Pečarić, M. Rodić Lipanović: n-exponential convexity for Jensen-type inequalities, Journal of Mathematical Inequalities, 7 (2013) , 3; 313-335.
J. Pečarić, I. Perić, M. Rodić Lipanović: Integral representations of generalized Whiteley means and related inequalities, Mathematical Inequalities and Applications, Vol.12, No.2 (2009), 295-309.
Projects (collaborator)
2001-2002: „Inequalities and Applications“ (Z-projects, Ministry of science, education and sports; no. 117006; chief researcher: academician Josip Pečarić)
2003-2006: „Inequalities and Applications“ (Z-projects, Ministry of science, education and sports; no. 0117014; chief researcher: academician Josip Pečarić)
2007-2014: „General Inequalities and Applications” (Z-projects, Ministry of science, education and sports; no. 117-1170889-0888; chief researcher: academician Josip Pečarić)
2014-2018: „Inequalities and Applications“ (HRZZ-project, no. 5435, chief researcher: academician Josip Pečarić)
Work in scientific and professional associations
Croatian mathematical society (member)
Croatian society for geometry and graphics (member)
Membership in scientific and organizational committies:
President of the Organizational Committee: Mathematical Inequalities and Applications 2018, Conference in honor of Academician Josip Pečarić on the occasion of his 70th birthday
